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Finding the Fourth Proportional to 10,456.91, 15,682.04 and 3,435.29

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Solution

The fourth proportional to 10,456.91, 15,682.04 and 3,435.29 is: 5,151.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,456.91 : 15,682.04 = 3,435.29 : x
  2. Step 2: Convert to fraction form
    10,456.91/15,682.04 = 3,435.29/x
  3. Step 3: Cross multiply
    10,456.91x = 15,682.04 × 3,435.29
  4. Step 4: Simplify right side
    10,456.91x = 53,872,419.51
  5. Step 5: Solve for x
    x = 53,872,419.51/10,456.91
  6. Step 6: Final answer
    x = 5,151.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.